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<h2>cvgmt weekly bulletin</h2>
<p><i>Weekly bulletin for <a href="http://cvgmt.sns.it">http://cvgmt.sns.it</a></i></p>
<h2>Summary</h2>
<p><b>Seminars by:</b> <a href='/seminar/982/'>McCann</a></p>
<p><b>New papers by:</b> <a href='/person/5888/' >Pinzi</a>, <a href='/person/133/' >Ansini</a>, <a href='/person/5903/' >Fanizza</a>, <a href='/person/4241/' >Gennaioli</a>, <a href='/person/5398/' >Picerni</a>, <a href='/person/4759/' >Mazari-Fouquer</a>, <a href='/person/2476/' >Tribuzio</a>, <a href='/person/5175/' >Cozzi</a>, <a href='/person/184/' >Davoli</a>, <a >Ryborz</a>, <a >Perthame</a>, <a href='/person/965/' >Mondino</a>, <a href='/person/201/' >Santambrogio</a>, <a href='/person/76/' >Marchese</a>, <a >Prunier</a>, <a href='/person/3412/' >Santilli</a>, <a >Badran</a>, <a >Seuffert</a>, <a >Masson</a>, <a href='/person/4833/' >Ferreri</a>, <a >Saemann</a>, <a href='/person/4070/' >Torricelli</a>, <a href='/person/103/' >Cagnetti</a>, <a href='/person/102/' >Mainini</a>, <a href='/person/3178/' >Perugini</a>, <a >Mukherjee</a>, <a href='/person/3955/' >Ognibene</a>, <a href='/person/4347/' >Domazakis</a></p>
<p><b>Modified papers by:</b> <a href='/person/256/'>Vittone</a>, <a href='/person/5770/'>Somma</a>, <a href='/person/4113/'>Labourie</a>, <a href='/person/1176/'>Cinti</a>, <a href='/person/3610/'>Merlino</a>, <a href='/person/3875/'>Magnabosco</a>, <a >Pacchiano Camacho</a>, <a href='/person/2808/'>Carbotti</a>, <a href='/person/1846/'>Nenna</a>, <a href='/person/5818/'>de Villeroché</a>, <a href='/person/5178/'>Di Marco</a>, <a href='/person/5948/'>Garatti</a>, <a href='/person/1217/'>Scilla</a>, <a href='/person/2247/'>Tamanini</a>, <a href='/person/973/'>Ruffini</a>, <a >Vestberg</a>, <a href='/person/5073/'>Cucinotta</a>, <a >Rota Nodari</a>, <a >Leone</a>, <a >Grosjean</a>, <a >Peña Ayala</a>, <a >Mougenot</a>, <a href='/person/5856/'>Colasanto</a>, <a href='/person/227/'>Verde</a>, <a href='/person/4845/'>Nastasi</a>, <a href='/person/4974/'>De Filippis</a>, <a href='/person/112/'>Zeppieri</a>, <a href='/person/245/'>Focardi</a>, <a href='/person/120/'>Solombrino</a>, <a href='/person/250/'>Lemenant</a>, <a href='/person/4989/'>Vianello</a>, <a href='/person/127/'>Monti</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/1128/'>PhD Open Day Matematica UniFE-UniMORE-UniPR</a></b><br />
Thu 14 May 2026 - Thu 14 May 2026<br />
Modena<br />
</p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Mon 11 May 2026</h3><ul>
<li><p>
BANG (Bridging ANalysis & Geometry) online seminar
organized by Esther Cabezas-Rivas & Salvador Moll (Universitat de València)<br />
Robert J. McCann (Toronto University): <b><a href='/seminar/982/'>A geometric approach to regularity for optimal transport maps</a></b><br />
, 16:30<br />
</p>
<div style="font-size: smaller;"><p>The first regularity results for maps optimizing an open class of cost were proved by Ma-Trudinger-Wang (2005) using a key inequality which they introduced (based on a classical strategy of Pogorelov). Away from the boundary, this inequality controls the size of the derivative of any smooth optimal map. After reviewing some history concerning minimal surfaces in signed geometries, we describe a new derivation of this estimate with Brendle, Leger and Rankin (2024) which relies in part on Kim, McCann and Warren's (2010) observation that the graph of an optimal map becomes a volume maximizing non-timelike submanifold when the product of the source and target domains is endowed with a suitable geometry that combines both the densities being transported and the cost being optimized. This unexpectedly links optimal transport to the Plateau problem in geometry with split signature (and more philosophically, with observer independence in Einstein's theory of gravity). The key difficulty is to uniformize ellipticity by showing the maximizing non-timelike submanifold is in fact (uniformly) spacelike. J. Reine Angew. Math. 817 (2024) 251-266 doi.org<i>10.1515</i>crelle-2024-0071 arXiv 2311.10208</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> Cagnetti, Domazakis, Perugini, Seuffert:</b> <a href='/paper/7701/'>Rigidity for the Pólya-Szegö inequality under circular rearrangement</a></p>
<p><b> Torricelli:</b> <a href='/paper/7702/'>Local Lipschitz continuity for energy integrals with fast growth and lower order terms</a></p>
<p><b> Santilli:</b> <a href='/paper/7703/'>When all parallel sets of a $ C^1 $-hypersurface are nowhere $ C^1 $-regular</a></p>
<p><b> Gennaioli:</b> <a href='/paper/7704/'>Sets of finite perimeter on Riemannian manifolds and stochastic completeness</a></p>
<p><b> Davoli, Fanizza, Picerni:</b> <a href='/paper/7705/'>Closing the gap: Maz'ya-Shaposhnikova and asymptotics of fractional perimeters</a></p>
<p><b> Ferreri, Mazari-Fouquer, Prunier:</b> <a href='/paper/7706/'>Unstable free boundary problems in optimal control theory: existence and regularity</a></p>
<p><b> Mainini, Mukherjee, Ognibene:</b> <a href='/paper/7707/'>On fractional critical problems with multi-polar Hardy potentials</a></p>
<p><b> Pinzi:</b> <a href='/paper/7708/'>Optimal transport between laws of random probability measures and the strict Monge problem</a></p>
<p><b> Masson, Perthame, Santambrogio:</b> <a href='/paper/7709/'>A stiff limit of non-homogeneous conservation laws for crowd motion modeling</a></p>
<p><b> Marchese:</b> <a href='/paper/7710/'>Grandezza topologica: teorema di Baire, gioco di Banach-Mazur e applicazioni</a></p>
<p><b> Mondino, Saemann, Ryborz:</b> <a href='/paper/7711/'>Stability of synthetic timelike ricci bounds under C^0-limits and applications to impulsive gravitational waves</a></p>
<p><b> Badran, Cozzi:</b> <a href='/paper/7712/'>Uniform small energy regularity for fractional geometric problems</a></p>
<p><b> Ansini, Tribuzio:</b> <a href='/paper/7713/'>Multiscale analysis and homogenization of nonlocal thin films</a></p>
<h2>Modified Papers</h2>
<p><b> Cucinotta, Magnabosco:</b> <a href='/paper/7082/'>On perimeter minimizing sets in manifolds with quadratic volume growth</a></p>
<p><b> Di Marco, Somma, Vittone:</b> <a href='/paper/7110/'>A note on the diameter of small sub-Riemannian balls</a></p>
<p><b> de Villeroché:</b> <a href='/paper/7147/'>Quantitative stability control of the full spectrum of the Dirichlet Laplacian by the second eigenvalue</a></p>
<p><b> Grosjean, Lemenant, Mougenot:</b> <a href='/paper/7179/'>Reilly inequality for varifolds</a></p>
<p><b> Monti, Vianello:</b> <a href='/paper/7212/'>Plateau's Problem for intrinsic graphs in the Heisenberg Group</a></p>
<p><b> Leone, Scilla, Solombrino, Verde:</b> <a href='/paper/7238/'>Lipschitz regularity of almost-minimizers in one-phase problems with generalized Orlicz growth</a></p>
<p><b> Colasanto, Focardi, Zeppieri:</b> <a href='/paper/7268/'>Homogenisation of phase-field functionals with linear growth</a></p>
<p><b> Labourie, Lemenant:</b> <a href='/paper/7327/'>Finite number of traces for Mumford-Shah minimizers in dimension 2</a></p>
<p><b> De Filippis, Nastasi, Pacchiano Camacho:</b> <a href='/paper/7407/'>Partial regularity for double phase obstacle problems</a></p>
<p><b> Nastasi, Peña Ayala, Vestberg:</b> <a href='/paper/7408/'>Existence, comparison principle and uniqueness for fully nonlinear anisotropic evolution equations</a></p>
<p><b> Cinti, Merlino, Ruffini:</b> <a href='/paper/7410/'>A strong quantitative form of the fractional isoperimetric inequality</a></p>
<p><b> Leone, Scilla, Solombrino, Verde:</b> <a href='/paper/7437/'>Lipschitz regularity of almost-minimizers in two-phase free boundary problems with generalized Orlicz growth</a></p>
<p><b> Carbotti:</b> <a href='/paper/7609/'>A Brunn-Minkowski inequality for Schrödinger operators with Kato class potentials</a></p>
<p><b> Garatti, Nenna, Rota Nodari, Tamanini:</b> <a href='/paper/7691/'>A PDE approach to Benamou--Brenier formula for the Schrödinger problem</a></p>
<h2>Open Positions</h2>
<p><a href="/position/1115/">2 PhD positions at GSSI_Summer call</a> (deadline: Fri 15 May 2026)</p>
<p><a href="/position/1118/">2 Postdoc Positions in the FIS Project "SEASTAR" (Self-Assembled Patterns: Analysis and Regularity)</a> (deadline: Thu 21 May 2026)</p>
<p><b>(new)</b> <a href="/position/1122/">Postdoc position at the University of Vienna</a> (deadline: Sun 31 May 2026)</p>
<p><a href="/position/1119/">PhD positions - University of Udine</a> (deadline: Thu 4 June 2026)</p>
<p><a href="/position/1116/">Manifestation of interest for a 2-year postdoc in Padova in Geometric Analysis</a> (deadline: Tue 30 June 2026)</p>
<p><b>(new)</b> <a href="/position/1121/">Bando di selezione per l'assegnazione di 2 borse di studio per la frequenza della LM in Matematica a Trento</a> (deadline: Wed 29 July 2026)</p>
<p><b>(new)</b> <a href="/position/1120/">PhD in Geometric Analysis at University of Vienna</a> (deadline: Fri 31 July 2026)</p>
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